3817734984 has 128 divisors (see below), whose sum is σ = 12171244800. Its totient is φ = 1086151680.

The previous prime is 3817734983. The next prime is 3817734989. The reversal of 3817734984 is 4894377183.

3817734984 is a `hidden beast` number, since 3 + 81 + 7 + 73 + 498 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3817734984.

It is not an unprimeable number, because it can be changed into a prime (3817734983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359154 + ... + 369630.

It is an arithmetic number, because the mean of its divisors is an integer number (95087850).

Almost surely, 2^3817734984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3817734984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085622400).

3817734984 is an abundant number, since it is smaller than the sum of its proper divisors (8353509816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3817734984 is a wasteful number, since it uses less digits than its factorization.

3817734984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10730 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3817734984 is about 61787.8222953358. The cubic root of 3817734984 is about 1562.9146397730.

The spelling of 3817734984 in words is "three billion, eight hundred seventeen million, seven hundred thirty-four thousand, nine hundred eighty-four".